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Finding the Third Proportional to 175,648 and 378,752

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Solution

The third proportional to 175,648 and 378,752 is: 816,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,648 : 378,752 = 378,752 : x
  2. Step 2: Convert to fraction form
    175,648/378,752 = 378,752/x
  3. Step 3: Cross multiply
    175,648x = 378,752 × 378,752
  4. Step 4: Simplify right side
    175,648x = 143,453,077,504
  5. Step 5: Solve for x
    x = 143,453,077,504/175,648
  6. Step 6: Final answer
    x = 816,707.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.